What is the Least Common Multiple of 48625 and 48634?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 48625 and 48634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48625 and 48634, than apply into the LCM equation.

GCF(48625,48634) = 1
LCM(48625,48634) = ( 48625 × 48634) / 1
LCM(48625,48634) = 2364828250 / 1
LCM(48625,48634) = 2364828250

Least Common Multiple (LCM) of 48625 and 48634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48625 and 48634. First we will calculate the prime factors of 48625 and 48634.

Prime Factorization of 48625

Prime Factorization of 48634

Now multiplying the highest exponent prime factors to calculate the LCM of 48625 and 48634.

LCM(48625,48634) = 5³ × 389¹ × 2¹ × 24317¹
LCM(48625,48634) = 2364828250